aspect the expression by grouping. First, the expression demands to be rewritten as 2x^2+ax+bx-12. To find a and also b, set up a system to be solved.

You are watching: Factor 2x^2-5x-12


Since ab is negative, a and b have the the opposite signs. Because a+b is positive, the confident number has higher absolute worth than the negative. Perform all together integer bag that give product -24.
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2x2+5x-12 Final an outcome : (2x - 3) • (x + 4) action by step solution : action 1 :Equation at the finish of step 1 : (2x2 + 5x) - 12 action 2 :Trying to element by splitting the middle term ...
2x2+5x-18 Final result : (x - 2) • (2x + 9) action by step solution : step 1 :Equation in ~ the finish of step 1 : (2x2 + 5x) - 18 action 2 :Trying to variable by separating the center term ...
x2+5x-120 Final an outcome : x2 + 5x - 120 action by action solution : step 1 :Trying to element by dividing the center term 1.1 Factoring x2+5x-120 The first term is, x2 the coefficient is ...
x2+5x-126 Final result : (x + 14) • (x - 9) action by step solution : step 1 :Trying to variable by splitting the middle term 1.1 Factoring x2+5x-126 The first term is, x2 that is coefficient ...
\displaystylex_1,2=\frac-5\pm114 Explanation:For a general type quadratic equation \displaystyle\left(ax^2+bx+c=0\right) that roots can be ...
\displaystyle\frac32 , and -4Explanation:Solve the by the brand-new Transforming an approach (Socratic Search). \displaystyley=2x^2+5x-12=0 reinvented equation: \displaystyley'=x^2+5x-24=0. ...
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Factor the expression by grouping. First, the expression demands to be rewritten together 2x^2+ax+bx-12. To uncover a and b, collection up a system to it is in solved.
Since abdominal is negative, a and also b have the the contrary signs. Due to the fact that a+b is positive, the hopeful number has better absolute worth than the negative. List all such integer pairs that offer product -24.
Quadratic polynomial can be factored making use of the transformation ax^2+bx+c=a\left(x-x_1\right)\left(x-x_2\right), whereby x_1 and x_2 are the options of the quadratic equation ax^2+bx+c=0.
All equations of the kind ax^2+bx+c=0 can be addressed using the quadratic formula: \frac-b±\sqrtb^2-4ac2a. The quadratic formula provides two solutions, one when ± is enhancement and one as soon as it is subtraction.

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Factor the initial expression using ax^2+bx+c=a\left(x-x_1\right)\left(x-x_2\right). Substitute \frac32 because that x_1 and also -4 because that x_2.
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